graph the line.\ny = -3x - 1

Explanation:

Step1: Find the y - intercept

The equation is in slope - intercept form $y = mx + b$, where $b$ is the y - intercept. For $y=-3x - 1$, when $x = 0$, $y=-1$. So plot the point $(0,-1)$.

Step2: Find the x - intercept

Set $y = 0$. Then $0=-3x - 1$. Solving for $x$: $3x=-1$, so $x=-\frac{1}{3}\approx - 0.33$. Plot the point $(-\frac{1}{3},0)$.

Step3: Draw the line

Connect the points $(0,-1)$ and $(-\frac{1}{3},0)$ with a straight line. This line represents the graph of $y=-3x - 1$.

Answer:

Graph the line by plotting the points $(0,-1)$ and $(-\frac{1}{3},0)$ and connecting them.